Determining the least expensive path for a new subway line underneath a metropolis like New York City is a colossal planning challenge—involving thousands of potential routes through hundreds of city ...

The research findings have demonstrated that finite difference methods offer a powerful tool for approximating option prices and hedging parameters, especially in cases where closed-form solutions are ...

Diamonds with certain optically active defects can be used as highly sensitive sensors or qubits for quantum computers, where the quantum information is stored in the electron spin state of these ...

In numerous physical and biological systems, differential equations with parameters are commonly used to model specific behaviors or phenomena. These parameters frequently represent physical ...

The IMEX schemes apply the implicit temporal method to only a small portion of the domain and use explicit calculations elsewhere, based on a convenient splitting algorithm. IMEX methods effectively ...

Numerical differentiation is a method of estimating the derivative of a function using finite differences. The methods implemented in this code include: Forward Difference Method: Approximates the ...

Introduction: Fractional diffusion equations offer an effective means of describing transport phenomena exhibiting abnormal diffusion pat-terns, often eluding traditional diffusion models. Methods: We ...

Abstract: In order to accurately analyze the thin absorber with a dispersive medium, an improved hybrid implicit-explicit (HIE) finite-difference time-domain (FDTD) method is investigated. The ...

Many years ago, I saw a tweet go around that said something like, "You have the same amount of hours in a day as Beyoncé." On the one hand, that was annoying, because while it’s true, I don’t have the ...

Alabama will be the first state to use nitrogen in an execution. If it goes smoothly, other states are likely to follow. By Jan Hoffman The planned execution of a death row inmate by the state of ...